Find all relative extrema and saddle points of the function. Use the Second Partials Test where applicable. (If an answer does not exist, enter DNE.) z = x² + xy + ²y²- relative minimum relative maximum saddle point (x, y, z) = (x, y, z) = - 2x + 1 (x, y, z) =

Q: Determine the open intervals on which the graph is concave upward or concave downward. (Enter your…

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Q: Find lim lim h-0 h→0 f(6+h)-f(6) h f(6+h)-f(6) h if f(x)=x² +4. (Simplify your answer.)

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Q: Apation car is parked 65 feet from a long warehouse (see figure). The revolving light on top of the…

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Q: Give the equations of any Vertical Asymptotes of f(x). Also find the equation of the Horizontal or…

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Q: 3 dx (e³x + 1)

A: Find d/dx

Q: Consider the following. y = x² y = 12 - x K 16 14 12 -2 10 B 6 4 2 2 8 10 12 (a) Find the area of…

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Q: r(t) = (-2 cos (2t), 3 sin (3t), ln (2t)), then the fr(t)dt is equal to 3 -cos (3t), tln (2t) - t) +…

A: Here we find the correct option,

Q: Find the points of inflection of the graph of the function. (If an answer does not exist, enter…

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Q: The graph of f is shown in the figure. The shaded region A has an area of 5.5, and Ja (6) (c) (d)…

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Q: Find the net signed area between the graph of the function f(x) = 2 - x and the x-axis over the…

A: net signed area

Q: Use any method to determine if the series converges or diverges. Give reasons for you! M8 n=1 Select…

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Q: Question For a Function where every one Y-value, X-value would the inverse of be a function as well?…

A: We have to explain that inverse function exist or not

Q: Find the area between y= |x|^y=2-12x₁

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Q: Opens left or right Vertex: (-7, 9) Passes through: (-4, 8)

A: Given:   Vertex: (-7, 9)   Passes through: (-4, 8)

Q: 2. The antiderivative of cos Π.Χ. A. -cos 2 B. KIN COS C. sin D. sin π.χ. is

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Q: In one town, the number of burglaries in a week has a mean of 4.7. Find the probability that in a…

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Q: Two hours after the start of a 100-kilometer bicycle race, a cyclist passes the 82-kilometer mark…

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Q: try again, answer is incorrect

A: Let's find minimum distance between point and plane.

Q: The integrand of the definite integral is a difference of two functions. Sketch the graph of each…

A: This is a problem related to integration. Please find the general procedure given below.

Q: —— Solve given differential equation 2(xdy+ydx)+3x2dx=0; when x=1 y=2

A: Here, the given DE is: 2(xdy+ydx)+3x2dx=0⇒2x dy+2ydx+3x2dx=0 Dividing it by 2x dx we have:…

Q: 8. Find the limit (if it exists) of the sequence (x_n) where x_n= [1+(1/n)]^n.

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Q: (iv) Find the average value of f over the given rectangle. f(x, y) = e³√√x+e", R = [0, 4] × [0, 1].…

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Q: Use the comparison test to determine if the following series converges or diverges. sinn 9/2 n=1 n…

A: We have to check the series

Q: Determine the limit of the sequence or show that the sequence diverges. If it converges, find its…

A: we have to check sequence is convergent or divergent.

Q: Let f(x) = 4x²-15x-4 x² +9x-52 (A) lim f(x) X-4 . Find the indicated quantities, if they exist. O A.…

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Q: Find the least squares regression line for the points. (0, 0), (1, 1), (3, 6), (4,7), (5,8) y= Use…

A: The given points are 0,0,1,1,3,6,4,7,5,8

Q: +00 (-1)" n100 4" Determine whether the series Στα or divergent. Series is conditionally convergent.…

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Q: Consider the function f(x)=√x+1-5 for the domain [- Find f(x), where f¹ is the inverse of f. Also…

A: NOTE: Refresh your page if you can't see any equations. . substitute y for f(x)

Q: 3. Analyze the continuity of this function. If there are discontinuities, state the type. [x² + 2x…

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Q: Determine whether the alternating series Σ (- n=1 COMING (-1)+1 8 converges or diverges. Choose the…

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Q: Evaluate the integral by making the given substitution. (Use C for the constant of integration.) z√z…

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Q: Find the average value of f(x) = √√√x + 6x over the interval [0, 2]. Submit an exact answer using…

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Q: Find the solution of the equation correct to four decimal places. e1+ 4x = 160

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Q: Find the area of the region shared by the cardioids r = 2(1 + cos 0) and r = 2(1 - cos 0). The area…

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Q: Identify the symmetries of the curve r=7+7 cos 8. Then sketch the curve. Is the curve symmetric…

A: see below the figure and answers

Q: 1. Find the numbers for x where the function below is not continuous. Explain what type of…

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Q: ach function, determine whether it is a polynomial function. Function (a) v(x) = 8x³ +0.9x² (b) u(x)…

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Q: A share valued at $263.75 pays quarterly dividends in perpetuity at a rate of return of 5.50%…

A: calculate the end of quarter

Q: x² 4+x² 2 dx

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Q: A plant can manufacture 50 golf clubs per day at a total daily cost of $5149 and 70 golf clubs per…

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Q: Evaluate the limit 1-04 me 1 Amar lim 3 +3) x+1 x+3 Una

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Q: Consider the following. y = x² y = 12 - x K 16 14 12 -2 10 B 6 4 2 2 8 10 12 (a) Find the area of…

A: To find the area of given region.

Q: 7. The value of f √x dx 1+√x A. x-2√x + 2 ln (1 + √√x) + C B. x-2√x -2 1n (1 + √√x) + C C. x-2√x+2…

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Q: f(x)=1/(1-2x); 1.09-1

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Q: A) Find the first five partial sums of the given two series and determine whether they appear to be…

A: Let's find partial sum.

Q: -1 Find the derivative of the function: y=6 sin ¹¹ (x²). y'= y'= O y'= 12x y'= -X 2x 2 + X 12x 4 4 X…

A: Given y =6 sin-1 (x2 )

Q: Let f(x) = x + 1/2 On which interval is f decreasing? ○ (0, 1) ○ (-1,1) ○ (-2,0) ○ (-∞0, 0)

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Q: 80 1 n+8 Does the series (-1) converge absolutely, converge conditionally, or diverge? n=1 Choose…

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Q: 15. Find the volume by the parabole y² = of the solid generated by revolving y-axis, the area…

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Q: Find ду ах if 2 Y = (x²+1) • 1₁ (x² + 1) In

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